Robust regression and outlier detection
Robust regression and outlier detection
High breakdown estimators for principal components: the projection-pursuit approach revisited
Journal of Multivariate Analysis
Principal component analysis for data containing outliers and missing elements
Computational Statistics & Data Analysis
The multivariate least-trimmed squares estimator
Journal of Multivariate Analysis
Computational Statistics & Data Analysis
Computational Statistics & Data Analysis
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A methodology is presented to construct an expectation robust algorithm for principal component regression. The presented method is the first multivariate regression method which can resist outliers and which can cope with missing elements in the data simultaneously. Simulations and an example illustrate the good statistical properties of the method.